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Finding the Fourth Proportional to 136,299.96, 204,448.11 and 35,097.45

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Solution

The fourth proportional to 136,299.96, 204,448.11 and 35,097.45 is: 52,645.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,299.96 : 204,448.11 = 35,097.45 : x
  2. Step 2: Convert to fraction form
    136,299.96/204,448.11 = 35,097.45/x
  3. Step 3: Cross multiply
    136,299.96x = 204,448.11 × 35,097.45
  4. Step 4: Simplify right side
    136,299.96x = 7,175,607,318.32
  5. Step 5: Solve for x
    x = 7,175,607,318.32/136,299.96
  6. Step 6: Final answer
    x = 52,645.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.